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Finding the Fourth Proportional to 37,826.95, 52,208 and 21,920.17

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Solution

The fourth proportional to 37,826.95, 52,208 and 21,920.17 is: 30,253.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,826.95 : 52,208 = 21,920.17 : x
  2. Step 2: Convert to fraction form
    37,826.95/52,208 = 21,920.17/x
  3. Step 3: Cross multiply
    37,826.95x = 52,208 × 21,920.17
  4. Step 4: Simplify right side
    37,826.95x = 1,144,408,235.36
  5. Step 5: Solve for x
    x = 1,144,408,235.36/37,826.95
  6. Step 6: Final answer
    x = 30,253.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.